- 353 is the exponent of the 19th Gaussian Mersenne Prime
- Arkadiusz Wesolowski, Table of n, a(n) for n = 1..25 Bogley, William A.;Williams, Gerald Efficient finitegroups arising in the study of relative asphericity. Math. Z. 284, No. 1-2, 507-535 (2016).
- 353rd Composite is 438
- 353 is the frequency of Ha + Meem in sura 42.
- 438th Composite is 538
- 538th non-Chen Prime is 9127
- Sura 9 has 127 verses.
- 438th Long Prime is 9221
- 9221 is the 1143rd prime.
- 1143 = 9 × 127
- Sura 9 has 127 verses.
- From Wikipedia
- In number theory, a full reptend prime, fullrepetend prime, proper prime[1]:166 or long prime in base b is an odd prime number p such that the Fermat quotient

- (where p does not divide b) gives a cyclic number.
- The term "long prime" was used by John Conway andRichard Guy in their Book of Numbers. (1995)
